452310052464 has 240 divisors, whose sum is σ = 1292767257600. Its totient is φ = 147607764480.

The previous prime is 452310052457. The next prime is 452310052487. The reversal of 452310052464 is 464250013254.

452310052464 is a `hidden beast` number, since 4 + 5 + 23 + 100 + 524 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622159269 + ... + 622159995.

It is an arithmetic number, because the mean of its divisors is an integer number (5386530240).

Almost surely, 2^452310052464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452310052464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646383628800).

452310052464 is an abundant number, since it is smaller than the sum of its proper divisors (840457205136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

452310052464 is a wasteful number, since it uses less digits than its factorization.

452310052464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 452310052464 in words is "four hundred fifty-two billion, three hundred ten million, fifty-two thousand, four hundred sixty-four".